Given:
The table of values.
To find:
The rate of change.
Solution:
From the given table it is clear that the rate of change is constant and function passes through two points (-1,5) and (2,-4). So, the rate of change is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{-4-5}{2-(-1)}[/tex]
[tex]m=\dfrac{-9}{2+1}[/tex]
[tex]m=\dfrac{-9}{3}[/tex]
[tex]m=-3[/tex]
So, the rate of change is -3.
Therefore, the correct option is C.
